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Finding the Third Proportional to 146,410.50 and 198,879

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Solution

The third proportional to 146,410.50 and 198,879 is: 270,150.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,410.50 : 198,879 = 198,879 : x
  2. Step 2: Convert to fraction form
    146,410.50/198,879 = 198,879/x
  3. Step 3: Cross multiply
    146,410.50x = 198,879 × 198,879
  4. Step 4: Simplify right side
    146,410.50x = 39,552,856,641
  5. Step 5: Solve for x
    x = 39,552,856,641/146,410.50
  6. Step 6: Final answer
    x = 270,150.41

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.